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Finding the Fourth Proportional to 7,848.50, 10,824.44 and 5,196.15

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Solution

The fourth proportional to 7,848.50, 10,824.44 and 5,196.15 is: 7,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.50 : 10,824.44 = 5,196.15 : x
  2. Step 2: Convert to fraction form
    7,848.50/10,824.44 = 5,196.15/x
  3. Step 3: Cross multiply
    7,848.50x = 10,824.44 × 5,196.15
  4. Step 4: Simplify right side
    7,848.50x = 56,245,387.93
  5. Step 5: Solve for x
    x = 56,245,387.93/7,848.50
  6. Step 6: Final answer
    x = 7,166.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.